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Consider the system X'(t) = | x(t),t > 0. If the eigenvalues of the coefficient matrix are r= -1 and r=-3, then the general solution of the given system is -3t -3t a) X(t) = c1 + c2 b) X(t) = c1 -t e -3t c) X(t) = c1 G) -t e + C2 et d) X(t) = c1 + C2 3t

Consider the system X'(t) = | x(t),t > 0. If the eigenvalues of the coefficient matrix are r= -1 and r=-3, then the general solution of the given system is -3t -3t a) X(t) = c1 + c2 b) X(t) = c1 -t e -3t c) X(t) = c1 G) -t e + C2 et d) X(t) = c1 + C2 3t

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the system X'(t) = X(t), t > 0. If the eigenvalues of the coefficient matrix are r= -1 and r= -3, then the general solution of the given system is a) X(t) = C1 + C2 -3t e e b) X(t) = c1 (;) e-t + c2 -3t e c) X(t) = c1 (다) ,-t е + C2 e-t d) X(t) = c1 et 3t C2
Transcribed Image Text:Consider the system X'(t) = X(t), t > 0. If the eigenvalues of the coefficient matrix are r= -1 and r= -3, then the general solution of the given system is a) X(t) = C1 + C2 -3t e e b) X(t) = c1 (;) e-t + c2 -3t e c) X(t) = c1 (다) ,-t е + C2 e-t d) X(t) = c1 et 3t C2
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